Which of the following can be the value of x so that the ordered pair (x, −9) is located in Quadrant IV? Responses 8 8 - no response given 0 0 - no response given −7 negative 7 - no response given −1

1 answer

In the coordinate plane, Quadrant IV is characterized by positive x-coordinates and negative y-coordinates. Since the ordered pair given is \((x, -9)\), the y-coordinate is \(-9\), which is indeed negative and therefore places the point in Quadrant IV.

To ensure that the ordered pair is in Quadrant IV, the x-coordinate must be positive. Among the response options provided:

  • 8: positive
  • 0: not positive
  • -7: negative
  • -1: negative

The only valid choice for x that would place the ordered pair in Quadrant IV is 8.